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Finding the Fourth Proportional to 1,187.09, 1,780.69 and 407.63

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Solution

The fourth proportional to 1,187.09, 1,780.69 and 407.63 is: 611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.09 : 1,780.69 = 407.63 : x
  2. Step 2: Convert to fraction form
    1,187.09/1,780.69 = 407.63/x
  3. Step 3: Cross multiply
    1,187.09x = 1,780.69 × 407.63
  4. Step 4: Simplify right side
    1,187.09x = 725,862.66
  5. Step 5: Solve for x
    x = 725,862.66/1,187.09
  6. Step 6: Final answer
    x = 611.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.